Big Idea: Observation and description of changes in the world around us
are the first steps in finding and learning about patterns.
Investigation 3
Essential Question: How can I visually explain situations where one thing changes based on another?
3.1 Renting Bicycles
Rocky's Cycle Center:
Adrian's Bike Shop:
Number of Bikes
5
10
15
20
25
30
35
40
45
50
Rental Fee (dollars)
400
535
655
770
875
975
1070
1140
1180
1200
Notes:
Items needed
Bikes
Food
Camp
Water
GPS
Mobile phone
Maps
First aid kit
Gas (for the van)
Towels
For 10 people- Adiran's bike shop because it's more cheap
For 20 people- Adiran's bike shop because it's more cheap
For 30 people- Adiran's bike shop because it's more cheap
For 40 people- Rocky's cycle center because it's more cheap
For 50 people- Rocky's cycle center because it's more cheap
Problem 3.1
A. Which bike shop should Ocean and History bike tours use? Explain your choice.
Overall they should use Rocky's cycle center because it costs less money and they want to make as much profit as possible. B. Explain how you used the information in the table and the graph to make your decision.
For me it is easyer to read a table so i changed Adrian's bike shop to a table. Then I just compared the two different tables and got the answer.
Follow up
1. In the graph from Adrian’s bike shop, would it make sense to connect the points with a line? Why or why not?
I don't think we should connect the points because it is constant and it will not help see that better if we connect the points. 2. How much do you think each company would charge for 32 bikes?
Rocky's cycle center- $1015 Adrian's bike shop- $960 3. For both the table and the graph, describe in words the pattern of change in the data. Patterns:
Rocky's cycle center- in their table the rental fee icreased fast for the first half then the increase slowed down in the second half.
Adrian's bike shop- In their graph the rental fee increased slowly in the first half the the increase went up very fast in the second half. 4. Based on the patterns you found in part 3, how can you predict values that are not included in the table or graph?
We can predict the values that are not in the table by subtracting the difference between points to see what the difference is.
M. B.
Variables and Patterns
Big Idea: Observation and description of changes in the world around usare the first steps in finding and learning about patterns.
Investigation 3
Essential Question: How can I visually explain situations where one thing changes based on another?3.1 Renting Bicycles
Rocky's Cycle Center:
Notes:
Items neededFor 10 people- Adiran's bike shop because it's more cheap
For 20 people- Adiran's bike shop because it's more cheap
For 30 people- Adiran's bike shop because it's more cheap
For 40 people- Rocky's cycle center because it's more cheap
For 50 people- Rocky's cycle center because it's more cheap
Problem 3.1
A. Which bike shop should Ocean and History bike tours use? Explain your choice.Overall they should use Rocky's cycle center because it costs less money and they want to make as much profit as possible.
B. Explain how you used the information in the table and the graph to make your decision.
For me it is easyer to read a table so i changed Adrian's bike shop to a table. Then I just compared the two different tables and got the answer.
Follow up
1. In the graph from Adrian’s bike shop, would it make sense to connect the points with a line? Why or why not?I don't think we should connect the points because it is constant and it will not help see that better if we connect the points.
2. How much do you think each company would charge for 32 bikes?
Rocky's cycle center- $1015 Adrian's bike shop- $960
3. For both the table and the graph, describe in words the pattern of change in the data.
Patterns:
Rocky's cycle center- in their table the rental fee icreased fast for the first half then the increase slowed down in the second half.
Adrian's bike shop- In their graph the rental fee increased slowly in the first half the the increase went up very fast in the second half.
4. Based on the patterns you found in part 3, how can you predict values that are not included in the table or graph?
We can predict the values that are not in the table by subtracting the difference between points to see what the difference is.